f(x) = |7x + 1|– 8
g(x) = -2
Find (f - g)(2).
O A. (f – g)(x) = |7x] – 5
B. (f - g)(x) = 172 – 7 + 2
O c. (f – g)(x) = 17x +11 – 6
O D. (f - g)(x) = 17x – 5||

Respuesta :

Answer:

f-g)(x)= | 7x + 1 | -6 Is correct

Step-by-step explanation:

Functions f(x) and g(x) are illustrations of composite functions.

The value of (f - g)(x) is |7x + 1| - 6

The functions are given as:

[tex]\mathbf{f(x) = |7x +1|- 8}[/tex]

[tex]\mathbf{g(x) = -2}[/tex]

The function (f - g)(x) is calculated using:

[tex]\mathbf{(f - g)(x) = f(x) - g(x)}[/tex]

So, we have:

[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 - (-2)}[/tex]

Remove bracket

[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 +2}[/tex]

Simplify

[tex]\mathbf{(f - g)(x) = |7x + 1| - 6}[/tex]

Hence, the value of (f - g)(x) is |7x + 1| - 6

Read more about composite functions at:

https://brainly.com/question/20379727